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Finding the Fourth Proportional to 13,547, 20,324.44 and 6,157.36

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Solution

The fourth proportional to 13,547, 20,324.44 and 6,157.36 is: 9,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547 : 20,324.44 = 6,157.36 : x
  2. Step 2: Convert to fraction form
    13,547/20,324.44 = 6,157.36/x
  3. Step 3: Cross multiply
    13,547x = 20,324.44 × 6,157.36
  4. Step 4: Simplify right side
    13,547x = 125,144,893.88
  5. Step 5: Solve for x
    x = 125,144,893.88/13,547
  6. Step 6: Final answer
    x = 9,237.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.